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Finding the Fourth Proportional to 692.86, 1,040.31 and 463.18

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Solution

The fourth proportional to 692.86, 1,040.31 and 463.18 is: 695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 1,040.31 = 463.18 : x
  2. Step 2: Convert to fraction form
    692.86/1,040.31 = 463.18/x
  3. Step 3: Cross multiply
    692.86x = 1,040.31 × 463.18
  4. Step 4: Simplify right side
    692.86x = 481,850.79
  5. Step 5: Solve for x
    x = 481,850.79/692.86
  6. Step 6: Final answer
    x = 695.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.